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Simplifying 39x5 + -41x4 + 10x3 = 0 Reorder the terms: 10x3 + -41x4 + 39x5 = 0 Solving 10x3 + -41x4 + 39x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(10 + -41x + 39x2) = 0 Factor a trinomial. x3((5 + -13x)(2 + -3x)) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -13x)' equal to zero and attempt to solve: Simplifying 5 + -13x = 0 Solving 5 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -13x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = 0 + -5 -13x = 0 + -5 Combine like terms: 0 + -5 = -5 -13x = -5 Divide each side by '-13'. x = 0.3846153846 Simplifying x = 0.3846153846Subproblem 3
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.3846153846, 0.6666666667}
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